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36229104 = 24324753101
BaseRepresentation
bin1000101000110…
…0111111110000
32112011121222200
42022030333300
533233312404
63332303200
7616641132
oct212147760
975147880
1036229104
11194a550a
1210171b00
137676352
144b51052
1532a9839
hex228cff0

36229104 has 120 divisors (see below), whose sum is σ = 106546752. Its totient is φ = 11481600.

The previous prime is 36229087. The next prime is 36229121. The reversal of 36229104 is 40192263.

36229104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36229087) and next prime (36229121).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 358654 + ... + 358754.

Almost surely, 236229104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36229104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53273376).

36229104 is an abundant number, since it is smaller than the sum of its proper divisors (70317648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36229104 is a wasteful number, since it uses less digits than its factorization.

36229104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 36229104 is about 6019.0617208997. The cubic root of 36229104 is about 330.8916930690.

The spelling of 36229104 in words is "thirty-six million, two hundred twenty-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 53 72 94 101 106 141 144 159 188 202 212 282 303 318 376 404 423 424 477 564 606 636 752 808 846 848 909 954 1128 1212 1272 1616 1692 1818 1908 2256 2424 2491 2544 3384 3636 3816 4747 4848 4982 5353 6768 7272 7473 7632 9494 9964 10706 14241 14544 14946 16059 18988 19928 21412 22419 28482 29892 32118 37976 39856 42723 42824 44838 48177 56964 59784 64236 75952 85446 85648 89676 96354 113928 119568 128472 170892 179352 192708 227856 251591 256944 341784 358704 385416 503182 683568 754773 770832 1006364 1509546 2012728 2264319 3019092 4025456 4528638 6038184 9057276 12076368 18114552 36229104